Geometric-Quadratic Index from a Mathematical Perspective

Document Type : Research Paper

Authors

1 Faculty of Science‎, ‎University of Kragujevac‎, ‎Kragujevac‎, ‎Serbia

2 Department of Mathematics‎, ‎Faculty of Engineering and Natural Sciences‎, ‎Bursa Technical University‎, ‎Bursa‎, ‎Turkey

10.22052/ijmc.2024.255277.1890

Abstract

‎The geometric-quadratic index (GQ) was defined in 2021 by V‎. ‎R‎. ‎Kulli‎. ‎In a recent study‎, ‎QSPR analysis for the octane isomers of GQ and some other newly defined topological indices was presented‎. ‎This analysis has revealed that GQ dominates over many of the well-known topological indices in terms of chemical applicability potential‎, ‎especially for the heat of vaporization‎. ‎These results inspired us to investigate the mathematical properties of GQ‎. ‎In this paper‎, ‎extremal graphs for GQ are investigated among connected graphs‎, ‎trees‎, ‎and unicyclic graphs‎. ‎In addition‎, ‎several mathematical relations between GQ and some well-known topological indices are presented.

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References

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Iranian Journal of Mathematical Chemistry
Volume 16, Issue 2
In Progress
June 2025
Pages 85-92

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